The theater manager calculated the total revenue for the night to be $5940 a total of 608 movie tickets and popcorn we're sold a movie ticket cost $11 and popcorn cost $4.20 how many movie tickets were sold

498 movie tickets were sold.

Step-by-step explanation:

Let x represent the number of movie tickets that were sold.

Let y represent the number of popcorns that were sold.

A total of 608 movie tickets and popcorn were sold. It means that

x + y = 608

A movie ticket cost $11 and popcorn cost $4.20. The theater manager calculated the total revenue for the night to be $5940. It means that

11x + 4.2y = 5940- - - - - - - - - -1

Substituting x = 608 - y into equation 1, it becomes

11(608 - y) + 4.2y = 5940

6688 - 11y + 4.2y = 5940

- 11y + 4.2y = 5940 - 6688

- 6.8y = - 748

y = - 748/- 6.8

y = 110

x = 608 - y = 608 - 110

x = 498

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step-by-step explanation: